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arc tan|tanx|= |x| true or false?

arc tan|tanx|= |x|  true or false?

Grade:12

1 Answers

Rathod Shankar AskiitiansExpert-IITB
69 Points
10 years ago

1) take angle as  x=135

 

arc tan|tanx| = arc tan|tan135|= arc tan|-1|=  arc tan(1) = 45

|x|=135     WHICH IS NOT CORRECT so it is not True

 

true only in the   1st cordinant that is from [0, pi/2] and the fourth

the range of tanx is between [-90,90] so it is not true in 3 quadrants

 

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